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Finding the Fourth Proportional to 35,857.56, 53,789.16 and 10,899.78

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Solution

The fourth proportional to 35,857.56, 53,789.16 and 10,899.78 is: 16,350.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,857.56 : 53,789.16 = 10,899.78 : x
  2. Step 2: Convert to fraction form
    35,857.56/53,789.16 = 10,899.78/x
  3. Step 3: Cross multiply
    35,857.56x = 53,789.16 × 10,899.78
  4. Step 4: Simplify right side
    35,857.56x = 586,290,010.38
  5. Step 5: Solve for x
    x = 586,290,010.38/35,857.56
  6. Step 6: Final answer
    x = 16,350.53

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.